Find the Value Using the Unit Circle sin(90)

Problem

sin(90)

Solution

1. Identify the angle on the unit circle. The angle 90 corresponds to the positive y-axis.

2. Determine the coordinates (x,y) at this position on the unit circle. At 90 the point is (0,1)

3. Apply the definition of the sine function on the unit circle, where sin(θ)=y

4. Substitute the y-coordinate from the point (0,1) into the sine function.

Final Answer

sin(90)=1

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